Details

Time bar (total: 6.0s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify961.0ms

Counts
1 → 1
Iterations

Useful iterations: 6 (378.0ms)

IterNodesCost
01317
12517
25917
313317
435417
583515
6398313
done500013

prune19.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
1.3b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r/ associate-/l*
2×pow1 flip3-- frac-sub flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 58
Calls
2 calls:
11.0ms
(- (/ (* z 2.0) y) (/ t z))
13.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (/ (* z 2.0) y) (/ t z))
9.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify555.0ms

Counts
64 → 64
Iterations

Useful iterations: done (552.0ms)

IterNodesCost
01051103
12181081
25961019
316791017
done50011012

prune117.0ms

Filtered
47 candidates to 64 candidates (-36.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh011
Picked101
Done000
Total61566

Merged error: 0b

Counts
66 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t z) (/ 2.0 (/ y z)))
0.6b
(/ 2.0 (/ y z))
1.3b
(/ (neg 2.0) (- (/ t z) (/ 2.0 (/ y z))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
344×add-sqr-sqrt
317×times-frac
164×*-un-lft-identity
92×add-cube-cbrt
72×difference-of-squares
36×distribute-lft-neg-in distribute-rgt-neg-in
24×associate-/r* distribute-lft-out--
13×associate-/l*
12×neg-mul-1
10×add-exp-log add-cbrt-cube
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/
3×pow1
2×flip3-- frac-2neg clear-num frac-sub flip--
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg
Counts
3 → 239
Calls
3 calls:
31.0ms
(- (/ t z) (/ 2.0 (/ y z)))
7.0ms
(/ 2.0 (/ y z))
39.0ms
(/ (neg 2.0) (- (/ t z) (/ 2.0 (/ y z))))

series38.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ t z) (/ 2.0 (/ y z)))
4.0ms
(/ 2.0 (/ y z))
26.0ms
(/ (neg 2.0) (- (/ t z) (/ 2.0 (/ y z))))

simplify596.0ms

Counts
248 → 248
Iterations

Useful iterations: 2 (225.0ms)

IterNodesCost
03914985
18244787
225314693
done50004693

prune363.0ms

Filtered
182 candidates to 248 candidates (-36.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2480248
Fresh044
Picked011
Done000
Total2485253

Merged error: 0b

Counts
253 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.3b
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
1.4b
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
90×times-frac
73×*-un-lft-identity
47×sqrt-prod
45×add-cube-cbrt
43×associate-*r*
28×difference-of-squares
14×distribute-lft-out--
10×add-exp-log add-cbrt-cube
6×associate-*l* associate-/r* associate-/r/ associate-/l* unswap-sqr
5×pow1 add-log-exp
3×flip3-- frac-sub flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 148
Calls
3 calls:
11.0ms
(- (/ (* z 2.0) y) (/ t z))
26.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
18.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- (/ (* z 2.0) y) (/ t z))
15.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))))
11.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))

simplify489.0ms

Counts
157 → 157
Iterations

Useful iterations: done (484.0ms)

IterNodesCost
01753050
13982823
213442639
done50002637

prune263.0ms

Filtered
99 candidates to 157 candidates (-58.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1561157
Fresh123
Picked011
Done011
Total1575162

Merged error: 0b

Counts
162 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.2b
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
0.3b
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
1.2b
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
201×add-sqr-sqrt
150×sqrt-prod
137×times-frac
108×*-un-lft-identity
68×add-cube-cbrt
62×associate-*r*
40×difference-of-squares
20×add-exp-log add-cbrt-cube distribute-lft-out--
15×associate-*l*
12×unswap-sqr
11×pow1
9×associate-/l*
7×prod-exp cbrt-unprod
6×associate-/r* associate-/r/ add-log-exp
4×pow-prod-down
3×cbrt-undiv flip3-- associate-*r/ div-exp frac-sub flip--
2×*-commutative div-inv
1×sub-neg frac-2neg diff-log clear-num
Counts
4 → 220
Calls
4 calls:
11.0ms
(- (/ (* z 2.0) y) (/ t z))
34.0ms
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
24.0ms
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
20.0ms
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (/ (* z 2.0) y) (/ t z))
12.0ms
(* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z))))
15.0ms
(* (sqrt 2.0) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))))
15.0ms
(/ (sqrt (sqrt 2.0)) (- (/ (* z 2.0) y) (/ t z)))

simplify536.0ms

Counts
232 → 232
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
02325174
15334661
218224186
done50014186

prune429.0ms

Filtered
126 candidates to 232 candidates (-84.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2311232
Fresh112
Picked101
Done022
Total2334237

Merged error: 0b

Counts
237 → 4

regimes355.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11414
done1414

end0.0ms

sample827.0ms

Algorithm
intervals
Results
415.0ms8000×body80valid

Profiling

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